4 The MODI and VAM Methods of Solving Transportation Problems
4 The MODI and VAM Methods of Solving Transportation Problems
4 The MODI and VAM Methods of Solving Transportation Problems
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T4-10 CD TUTORIAL 4 THE <strong>MODI</strong> AND <strong>VAM</strong> METHODS OF S OLVING T RANSPORTATION P ROBLEMS<br />
dem<strong>and</strong> <strong>and</strong> supply in millions <strong>of</strong> kilowatt hours <strong>and</strong> the costs per kilowatt hour <strong>of</strong> transmitting electric power<br />
to four small companies in cities W, X, Y, <strong>and</strong> Z.<br />
To<br />
Excess<br />
W X Y Z<br />
From Supply<br />
A 12¢ 4¢ 9¢ 5¢ 55<br />
B 8¢ 1¢ 6¢ 6¢ 45<br />
C<br />
Unfilled Power<br />
1¢ 12¢ 4¢ 7¢ 30<br />
Dem<strong>and</strong> 40 20 50 20<br />
Use Vogel’s approximation method to find an initial transmission assignment <strong>of</strong> the excess power supply. <strong>The</strong>n<br />
apply the <strong>MODI</strong> technique to find the least-cost distribution system.
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